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Finding the Third Proportional to 593,570 and 1,280,452

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Solution

The third proportional to 593,570 and 1,280,452 is: 2,762,197.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,570 : 1,280,452 = 1,280,452 : x
  2. Step 2: Convert to fraction form
    593,570/1,280,452 = 1,280,452/x
  3. Step 3: Cross multiply
    593,570x = 1,280,452 × 1,280,452
  4. Step 4: Simplify right side
    593,570x = 1,639,557,324,304
  5. Step 5: Solve for x
    x = 1,639,557,324,304/593,570
  6. Step 6: Final answer
    x = 2,762,197.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.